Finding the Third Proportional to 8,141.50 and 16,006

Step by Step Solution

1. Step 1: Write the proportion equation
   8,141.50 : 16,006 = 16,006 : x
2. Step 2: Convert to fraction form
   8,141.50/16,006 = 16,006/x
3. Step 3: Cross multiply
   8,141.50x = 16,006 × 16,006
4. Step 4: Simplify right side
   8,141.50x = 256,192,036
5. Step 5: Solve for x
   x = 256,192,036/8,141.50
6. Step 6: Final answer
   x = 31,467.42